Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400cu |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
861224000000000 = 212 · 59 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96208,11430912] |
[a1,a2,a3,a4,a6] |
j |
12310389629/107653 |
j-invariant |
L |
2.0099128244085 |
L(r)(E,1)/r! |
Ω |
0.50247820609993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2275f1 36400cq1 |
Quadratic twists by: -4 5 |